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If the lengths of the diagonals of a rhombus are 10 cm and 24 cm, what is the ar

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Question: If the lengths of the diagonals of a rhombus are 10 cm and 24 cm, what is the area of the rhombus?

Options:

  1. 120 cm²
  2. 240 cm²
  3. 60 cm²
  4. 300 cm²

Correct Answer: 240 cm²

Solution: 

The area of a rhombus can be calculated using the formula (1/2) × d1 × d2 = (1/2) × 10 × 24 = 120 cm².

If the lengths of the diagonals of a rhombus are 10 cm and 24 cm, what is the ar

Practice Questions

Q1
If the lengths of the diagonals of a rhombus are 10 cm and 24 cm, what is the area of the rhombus?
  1. 120 cm²
  2. 240 cm²
  3. 60 cm²
  4. 300 cm²

Questions & Step-by-Step Solutions

If the lengths of the diagonals of a rhombus are 10 cm and 24 cm, what is the area of the rhombus?
  • Step 1: Identify the lengths of the diagonals of the rhombus. Here, d1 = 10 cm and d2 = 24 cm.
  • Step 2: Use the formula for the area of a rhombus, which is Area = (1/2) × d1 × d2.
  • Step 3: Substitute the values of d1 and d2 into the formula: Area = (1/2) × 10 × 24.
  • Step 4: Calculate the multiplication: 10 × 24 = 240.
  • Step 5: Now, calculate (1/2) × 240 = 120.
  • Step 6: The area of the rhombus is 120 cm².
  • Area of a Rhombus – The area of a rhombus can be calculated using the formula (1/2) × d1 × d2, where d1 and d2 are the lengths of the diagonals.
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